The World Group play-offs for the 1991 Federation Cup was held from 24 to 26 July at the Nottingham Tennis Centre in Nottingham, United Kingdom, on hard courts.
The sixteen teams that were defeated in the first round of the World Group played off in the first round. Those that lost again would then play off again in the Repechage Round; with the four teams that lost again being relegated to Zonal Competition in 1992.
| Repechage Round 24–25 July | First Round 25–26 July | |||||||
 Brazil | 1 | |||||||
 Argentina | 2 | |||||||
| Brazil | 1 | |||||||
 Paraguay | 2 | |||||||
 Sweden | 3 | |||||||
| Paraguay | 0 | |||||||
 Romania | 2 | |||||||
 Portugal | 0 | |||||||
| Portugal | 0 | |||||||
 Hungary | 2 | |||||||
 Netherlands | 2 | |||||||
| Hungary | 0 | |||||||
 Denmark | 2 | |||||||
 Greece | 1 | |||||||
| Greece | 0 | |||||||
 New Zealand | 2 | |||||||
 Israel | 2 | |||||||
| New Zealand | 0 | |||||||
 Japan | 2 | |||||||
 Belgium | 1 | |||||||
| Belgium | 3 | |||||||
 Yugoslavia | 0 | |||||||
 France | 2 | |||||||
| Yugoslavia | 0 | |||||||
 Brazil 1 | Nottingham Tennis Centre, Nottingham, United Kingdom 24 July 1991 Hard |  Argentina 2 | |||||||||||||||||||||||||||||
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 Sweden 3 | Nottingham Tennis Centre, Nottingham, United Kingdom 24 July 1991 Hard |  Paraguay 0 | |||||||||||||||||||||||||||||
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 Romania 2 | Nottingham Tennis Centre, Nottingham, United Kingdom 24 July 1991 Hard |  Portugal 0 | |||||||||||||||||||||||||||||
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 Netherlands 2 | Nottingham Tennis Centre, Nottingham, United Kingdom 24 July 1991 Hard |  Hungary 0 | |||||||||||||||||||||||||||||
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 Denmark 2 | Nottingham Tennis Centre, Nottingham, United Kingdom 25 July 1991 Hard |  Greece 1 | |||||||||||||||||||||||||||||
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 Israel 2 | Nottingham Tennis Centre, Nottingham, United Kingdom 25 July 1991 Hard |  New Zealand 0 | |||||||||||||||||||||||||||||
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 Japan 2 | Nottingham Tennis Centre, Nottingham, United Kingdom 25 July 1991 Hard |  Belgium 1 | |||||||||||||||||||||||||||||
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 France 2 | Nottingham Tennis Centre, Nottingham, United Kingdom 25 July 1991 Hard |  Yugoslavia 0 | |||||||||||||||||||||||||||||
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Brazil 1 | Nottingham Tennis Centre, Nottingham, United Kingdom 25 July 1991 Hard | Paraguay 2 | |||||||||||||||||||||||||||||
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Portugal 0 | Nottingham Tennis Centre, Nottingham, United Kingdom 25 July 1991 Hard | Hungary 2 | |||||||||||||||||||||||||||||
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Greece 0 | Nottingham Tennis Centre, Nottingham, United Kingdom 26 July 1991 Hard | New Zealand 2 | |||||||||||||||||||||||||||||
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Belgium 3 | Nottingham Tennis Centre, Nottingham, United Kingdom 26 July 1991 Hard | Yugoslavia 0 | |||||||||||||||||||||||||||||
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